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Finding the Fourth Proportional to 211,604.49, 317,219.90 and 161,906.45

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Solution

The fourth proportional to 211,604.49, 317,219.90 and 161,906.45 is: 242,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,604.49 : 317,219.90 = 161,906.45 : x
  2. Step 2: Convert to fraction form
    211,604.49/317,219.90 = 161,906.45/x
  3. Step 3: Cross multiply
    211,604.49x = 317,219.90 × 161,906.45
  4. Step 4: Simplify right side
    211,604.49x = 51,359,945,482.72
  5. Step 5: Solve for x
    x = 51,359,945,482.72/211,604.49
  6. Step 6: Final answer
    x = 242,716.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.